Answer:
![y=75x+150](https://tex.z-dn.net/?f=y%3D75x%2B150)
Step-by-step explanation:
Let
represent the number of monitors sold.
Given:
is the number of years since 1990.
So, for the year 1990,
.
For the year 2000, 10 years passed. So,
.
Now, monitors sold in 1990 are 150. So, at ![x=0,y=150](https://tex.z-dn.net/?f=x%3D0%2Cy%3D150)
Monitors sold in 2000 are 900. So, at ![x=10,y=900](https://tex.z-dn.net/?f=x%3D10%2Cy%3D900)
Thus, the two points are
and
.
The slope of a line with points
and
is given as:
Slope, ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
For the points
and
, the slope is given as:
Slope, ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%20m%3D%5Cfrac%7B900-150%7D%7B10-0%7D%5C%5C%20m%3D75)
Now, the y-intercept is the point where
. So, the point
has
value as 0.
So, the y-intercept is 150.
Equation of a line in slope-intercept form is given as:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where,
is the slope and
is the y intercept.
Here,
and
.
Therefore, the equation that represents the above data is given as:
![y=75x+150](https://tex.z-dn.net/?f=y%3D75x%2B150)